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Finding the Third Proportional to 298.41 and 526.31

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Solution

The third proportional to 298.41 and 526.31 is: 928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 526.31 = 526.31 : x
  2. Step 2: Convert to fraction form
    298.41/526.31 = 526.31/x
  3. Step 3: Cross multiply
    298.41x = 526.31 × 526.31
  4. Step 4: Simplify right side
    298.41x = 277,004.85
  5. Step 5: Solve for x
    x = 277,004.85/298.41
  6. Step 6: Final answer
    x = 928.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.